In this paper we give a partial answer to a conjecture of Tanaka. We prove that: if WKL0 proves a sentence of the form (∀X)(∃!Y)ψ(X, Y) for a Σ0 3-formula ψ, then so does RCA0.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Received: 12 April 1999 / Published online: 3 October 2001
About this article
Cite this article
Fernandes, A. A new conservation result of WKL0 over RCA0. Arch. Math. Logic 41, 55–63 (2002). https://doi.org/10.1007/s001530200004
- Partial Answer
- Conservation Result